5005735 has 32 divisors (see below), whose sum is σ = 7464960. Its totient is φ = 3144192.

The previous prime is 5005709. The next prime is 5005757. The reversal of 5005735 is 5375005.

It is a happy number.

5005735 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 5005735 - 2⁵ = 5005703 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27876 + ... + 28054.

It is an arithmetic number, because the mean of its divisors is an integer number (233280).

Almost surely, 2^5005735 is an apocalyptic number.

5005735 is a deficient number, since it is larger than the sum of its proper divisors (2459225).

5005735 is a wasteful number, since it uses less digits than its factorization.

5005735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255.

The product of its (nonzero) digits is 2625, while the sum is 25.

The square root of 5005735 is about 2237.3499949717. The cubic root of 5005735 is about 171.0629477677.

The spelling of 5005735 in words is "five million, five thousand, seven hundred thirty-five".